The radical can be rewritten with common factors.

Pull out the factor of a known square.

The value of cannot be broken down any further.

The answer is:

This expression can either be split into common factors of perfect squares, or this can be multiplied as one term.

For the simplest method, we will multiply the two numbers in radical form to combine as one radical.

The square root of a number is another number multiplied by itself to achieve the number in the square root.

The answer is:

Find the factors of 128 to simplify the term.

We can rewrite the expression as the square roots of these factors.

Simplify.

When simplifying radicals, you want to factor the radicand and look for square numbers.

Both the and are not perfect squares, so the answer is just .

To simplify a radical that is not a perfect square (such as 25 or 9) we must factor the radicand to numbers that are perfect squares. Try and break up the number to factors that you can take the perfect square of.

Extract perfect squares:

Start by finding factors for the radical term.

We can rewrite the radical using these factors.

Simplify the first term.

When simplifying radicals, you want to factor the radicand and look for square numbers.

is a perfect square so the answer is just .

Use the multiplication property of radicals to split the perfect squares as follows:

Simplify roots,

In order to solve this equation, we must see how many perfect cubes we can simplify in each radical.

First, let's simplify the coefficient under the radical. is the perfect cube of . Therefore, we can remove from under the radical, and what we have instead is:

Now, in order to remove variables from underneath the square root symbol, we need to remove the variables by the cube. Since radicals have the property

we can see that

With the expression in this form, it is much easier to see that we can remove one cube from , two cubes from , and two cubes from , and therefore our solution is:

To simplify this expression, I like to look at each term separately. First, I factor 72 down to its prime factors: . Since we're dealing with a square root, for every pair of the same number, we cross it out underneath the radical and keep the loners underneath the radical sign: . Do the same for all of the , , and terms. is the only one that has a loner underneath the radical. Multiply all of the terms to get your answer: